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Finding the Fourth Proportional to 11,976.06, 16,527 and 6,941.26

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Solution

The fourth proportional to 11,976.06, 16,527 and 6,941.26 is: 9,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.06 : 16,527 = 6,941.26 : x
  2. Step 2: Convert to fraction form
    11,976.06/16,527 = 6,941.26/x
  3. Step 3: Cross multiply
    11,976.06x = 16,527 × 6,941.26
  4. Step 4: Simplify right side
    11,976.06x = 114,718,204.02
  5. Step 5: Solve for x
    x = 114,718,204.02/11,976.06
  6. Step 6: Final answer
    x = 9,578.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.